72359295327 has 32 divisors (see below), whose sum is σ = 120716728320. Its totient is φ = 42439464000.

The previous prime is 72359295317. The next prime is 72359295353.

72359295327 is a `hidden beast` number, since 7 + 23 + 5 + 9 + 295 + 327 = 666.

72359295327 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72359295327 - 2⁶ = 72359295263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72359295317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3920374 + ... + 3938787.

It is an arithmetic number, because the mean of its divisors is an integer number (3772397760).

Almost surely, 2^72359295327 is an apocalyptic number.

72359295327 is a deficient number, since it is larger than the sum of its proper divisors (48357432993).

72359295327 is a wasteful number, since it uses less digits than its factorization.

72359295327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7859212 (or 7859206 counting only the distinct ones).

The product of its digits is 7144200, while the sum is 54.

The spelling of 72359295327 in words is "seventy-two billion, three hundred fifty-nine million, two hundred ninety-five thousand, three hundred twenty-seven".